EP3153374A1 - Method for estimating tire forces from can-bus accessible sensor inputs - Google Patents
Method for estimating tire forces from can-bus accessible sensor inputs Download PDFInfo
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- EP3153374A1 EP3153374A1 EP16192369.3A EP16192369A EP3153374A1 EP 3153374 A1 EP3153374 A1 EP 3153374A1 EP 16192369 A EP16192369 A EP 16192369A EP 3153374 A1 EP3153374 A1 EP 3153374A1
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Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01G—WEIGHING
- G01G19/00—Weighing apparatus or methods adapted for special purposes not provided for in the preceding groups
- G01G19/08—Weighing apparatus or methods adapted for special purposes not provided for in the preceding groups for incorporation in vehicles
- G01G19/086—Weighing apparatus or methods adapted for special purposes not provided for in the preceding groups for incorporation in vehicles wherein the vehicle mass is dynamically estimated
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B60—VEHICLES IN GENERAL
- B60C—VEHICLE TYRES; TYRE INFLATION; TYRE CHANGING; CONNECTING VALVES TO INFLATABLE ELASTIC BODIES IN GENERAL; DEVICES OR ARRANGEMENTS RELATED TO TYRES
- B60C23/00—Devices for measuring, signalling, controlling, or distributing tyre pressure or temperature, specially adapted for mounting on vehicles; Arrangement of tyre inflating devices on vehicles, e.g. of pumps or of tanks; Tyre cooling arrangements
- B60C23/02—Signalling devices actuated by tyre pressure
- B60C23/04—Signalling devices actuated by tyre pressure mounted on the wheel or tyre
- B60C23/0486—Signalling devices actuated by tyre pressure mounted on the wheel or tyre comprising additional sensors in the wheel or tyre mounted monitoring device, e.g. movement sensors, microphones or earth magnetic field sensors
- B60C23/0488—Movement sensor, e.g. for sensing angular speed, acceleration or centripetal force
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- B60W40/00—Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models
- B60W40/12—Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models related to parameters of the vehicle itself, e.g. tyre models
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- B60W40/00—Estimation or calculation of non-directly measurable driving parameters for road vehicle drive control systems not related to the control of a particular sub unit, e.g. by using mathematical models
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M1/00—Testing static or dynamic balance of machines or structures
- G01M1/12—Static balancing; Determining position of centre of gravity
- G01M1/122—Determining position of centre of gravity
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- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M17/00—Testing of vehicles
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Definitions
- the invention relates generally to tire monitoring systems for collecting measured tire parameter data during vehicle operation and, more particularly, to a method for estimating tire forces based upon CAN-bus accessible sensor inputs.
- the invention relates to a method in accordance with claim 1.
- a method for estimating normal force, lateral force, and longitudinal force on a tire mounted to a wheel includes accessing a vehicle CAN-bus for vehicle sensor-measured information, equipping the vehicle with multiple CAN-bus accessible, vehicle mounted sensors providing by the CAN-bus input sensor data, the input sensor data including acceleration and angular velocities, steering wheel angle measurement, angular wheel speed of the wheel, roll rate, pitch rate, yaw rate.
- the method further deploys a normal force estimator to estimate a normal force on the tire from a summation of longitudinal load transfer, lateral load transfer and static normal force using as inputs lateral acceleration, longitudinal acceleration and roll angle derived from the input sensor data; a lateral force estimator to estimate a lateral force on the tire from a planar vehicle model using as inputs measured lateral acceleration, longitudinal acceleration and yaw rate derived from the input sensor data; and a longitudinal force estimator to estimate a longitudinal force on the tire from a wheel rotational dynamics model using as inputs wheel angular speed and drive/brake torque derived from the input sensor data.
- the method further includes deploying a roll and pitch angle estimator operable to generate a roll angle estimation and a pitch angle estimation from the input sensor data; deploying an acceleration bias compensation estimator to generate bias-compensated acceleration data from the roll estimation, the pitch estimation and the input sensor data; deploying a center of gravity estimator to generate a center of gravity height estimation from the roll angle estimation, the pitch angle estimation and the input sensor data; deploying a tire rolling radius estimator to generate a tire rolling radius estimation from the input sensor data; deploying a mass estimator to generate a vehicle mass estimation from the tire longitudinal force estimation and a road grade angle input; deploying a center of gravity longitudinal position estimator to generate a vehicle longitudinal center of gravity estimation; and deploying a yaw inertia adaptation model to generate a yaw inertia output from the vehicle mass estimation.
- the invention in yet a further preferred aspect configures the input sensor data to exclude data from a global positioning system and data from a suspension displacement sensor.
- ANN Artificial Neural Network
- ANN neural networks are non-linear statistical data modeling tools used to model complex relationships between inputs and outputs or to find patterns in data.
- Axial and “axially” means lines or directions that are parallel to the axis of rotation of the tire.
- CAN-bus is an abbreviation for controller area network.
- “Circumferential” means lines or directions extending along the perimeter of the surface of the annular tread perpendicular to the axial direction.
- “Footprint” means the contact patch or area of contact created by the tire tread with a flat surface as the tire rotates or rolls.
- Kalman filter is a set of mathematical equations that implement a predictor-corrector type estimator that is optimal in the sense that it minimizes the estimated error covariance when some presumed conditions are met.
- “Lateral” means an axial direction.
- “Luenberger observer” is a state observer or estimation model.
- a “state observer” is a system that provides an estimate of the internal state of a given real system, from measurements of the input and output of the real system. It is typically computer-implemented, and provides the basis of many practical applications.
- MSE is an abbreviation for mean square error, the error between and a measured signal and an estimated signal which the Kalman filter minimizes.
- “Sensor” means a device mounted to a vehicle or to a tire for the purpose of measuring a specific vehicle or tire parameter and communicating the parameter measurement either wirelessly or via a vehicle CAN-bus for application.
- PSD power spectral density
- Ring and radially means directions radially toward or away from the axis of rotation of the tire.
- a tire 12 creates a contact patch 14 on a ground surface as it rotates.
- Tire forces F x (longitudinal), F z (vertical), and F y (lateral) are created within the tire and identification of such forces are used to determine vehicle performance parameters.
- the goal of the subject system and method is to estimate the listed vehicle inertial parameters (column 16) using standard vehicle sensors such as accelerometers and a gyroscope, i.e. signals available on major vehicle controller area networks (CAN-bus).
- the subject system force estimate is made without using global positioning system (GPS) or suspension.
- GPS global positioning system
- the forces F x , F y , F z are estimated using the model identified for each in column 18 as will be explained below. While a number of alternative approaches for estimating such forces have been proposed, they unanimously use fixed vehicle parameters such as inertial parameters to estimate the tire forces. However, depending on how the vehicle is loaded, inertial parameters of the vehicle, including mass, moments of inertia and spatial components for location of center of mass, can have different magnitudes. The subject system and method is more robust in avoiding the use of load-dependent inertial parameters.
- the longitudinal force estimation approach of the subject system is represented. From the wheel rotation dynamics model 20 the equations shown are generated. Model inputs for the model 20 are shown in table 22 to include wheel angular speed and drive/brake torque. The model parameter is rolling radius and the model output yields individual tire longitudinal force (F x ).
- FIG. 2 shows the scheme for estimation of lateral force (F y ).
- a planar vehicle model 24 is used in the estimation, generating the dynamic equations shown.
- table 26 the model inputs of lateral acceleration, longitudinal acceleration and yaw rate are used to determine the model parameters of mass, longitudinal center of gravity (CoG), and yaw moment of inertial.
- the model outputs front and rear axle lateral force (F y ).
- F xi is the longitudinal force of each wheel
- F yi is the lateral force of each wheel (where fl, fr, rl and rr represent the front left, front right, rear left, and rear right wheel, respectively, hereinafter inclusive)
- F yf and F yr are the lateral forces of the front and rear axle, respectively.
- ⁇ is the steering angle of the front wheels
- m is the mass of the vehicle
- a x and a y are the longitudinal and lateral accelerations of the vehicle, respectively
- ⁇ is the yaw rate of the vehicle
- I z is the moment of inertia of the vehicle
- I f and I r are the distances from the center of mass of the vehicle to the front axle and rear axle, respectively
- 2t is the wheel base.
- Inputs, parameters, and outputs for the model are as indicated in table 26.
- FIGS. 3A through 3C the vertical force estimation used in the subject system and method are described.
- the vertical tire forces can be estimated by the summation of longitudinal load transfer, lateral load transfer and static normal force.
- FIG. 3A represents a vehicle lateral dynamics model showing the vehicle CoG and identifying model parameters.
- FIGS. 3B shows a vehicle longitudinal dynamics model and CoG for the vehicle.
- equations are identified from which to calculate an estimation of longitudinal load transfer, lateral load transfer and static normal force.
- the table 32 identifies the model inputs, model parameters and model output of individual tire vertical force (F z ).
- FIG. 5A A diagram of the robust estimation of tire forces with vehicle model parameter adaptation is seen in FIG. 5A .
- Information from CAN-bus sensors is shown in broken line arrows while the internal state estimates are shown in solid line arrow.
- a 6D IMU 34 provides acceleration and angular velocities from the CAN-bus.
- Steering input 36 and wheel speed 38 are likewise provided by means of the vehicle CAN-bus.
- Acceleration measurements, roll rate, pitch rate and yaw rate are provided from a 6D IM U unit 34 mounted to the vehicle and available by CAN-bus with steering input 36 and wheel speed 38.
- a kinematics based roll and pitch angle estimator 40 receives the acceleration, roll rate, pitch rate and yaw rate and provides an estimation of roll and pitch angles to a RLS CoG height estimation model (1 DOF roll model) 48 to yield a height estimation h cg .
- the acceleration data a x and a y are used in an acceleration bias compensation adjustment 46 to yield compensated acceleration measurement a xc and a yc .
- the compensated acceleration measurements a xc and a yc with height estimation h cg are inputs to a tire dynamic load estimator 54 with CoG longitudinal position estimation a, b from estimator 52 and mass estimation m from estimator 50.
- the tire dynamic load estimator 54 outputs a load estimation normal force (F z ) 60.
- the longitudinal force estimations are inputs with road grade ⁇ and longitudinal acceleration a x to a longitudinal dynamics mass estimation model 50.
- An estimation of mass m is generated by the model 50.
- Mass m is used in a yaw inertia adaptation moel 56 that uses regression equations to approximate moments of inertia I z .
- the load estimation F z from the tire dynamic load estimator 54, the compensated acceleration data a xc and a yc , the yaw inertial adaptation I z , mass "m” and CoG position estimation a, b are inputs to an axle force estimator configured as a 3 DOF planar (SMC) model 58.
- Lateral force (F y ) 62 is an estimation output from the axle force estimator 58.
- the parameter estimation blocks are outlined in broken line as indicated.
- the parameters estimated are tire rolling radius 44, mass 50, CoG longitudinal position 52, yaw inertia adaptation 56 and CoG height 48.
- Vehicle sprung mass and longitudinal CoG position are derived as set forth in US-B-8,886,395 and US-A-2014/0278040 , which are incorporated herein by reference in their entireties.
- the yaw inertia adaptation 56 is estimated using regression equations that approximate moments of inertia. Such equations are set forth and discussed in the paper authored by Allen R. Wade, et al.
- the subject estimates of longitudinal force, lateral force and vertical force are "robust" in the sense that the estimates of vehicle inertial parameters use standard vehicle sensors such as accelerometers and a gyroscope, signals available on major vehicle controller area networks.
- GPS Global positioning system
- suspension displacement sensors are not used.
- the subject system and method for making its force estimates are GPS independent and suspension displacement measurement independent and consequently are referred to as "robust”.
- the methodology for estimation of rolling radius 44 will be understood from the experimentally derived sensitivity graph 66 of FIG. 6A (load), graph 68 of FIG. 6B (pressure), graph 70 of FIG. 7A (speed), graph 72 of FIG. 7B (wear).
- the sensitivity of rolling radius to speed is seen in FIG. 7A as 1.8 mm/40 kph.
- the sensitivity to tire wear is seen in FIG. 7B as 0.22677 mm/3 mm.
- Tire rolling radius is thus shown to be a function of load, pressure, speed and tire wear state with increasing load and decreasing tread depth acting to decrease rolling radius and increasing pressure and increasing speed acting to increase rolling radius.
- the rolling radius can therefore be updated as seen in FIG. 8 by vehicle speed estimation based on correlation analysis of time dependent signals 74.
- Wheel speed in the equation shown is obtained from the CAN-bus of the vehicle as seen at 76 while rolling radius (static) r is recursively estimated under constant speed conditions using a recursive least squares algorithm as seen at block 78.
- Vehicle speed estimation is shown schematically in FIGS. 9A and 9B and is based on correlation analysis of time dependent signals.
- the graph 80 graphs spindle acceleration for both front and rear wheels as a first step.
- cross-correlation coefficient against lag [sec] is graphed at 82.
- the peak in the graph 82 of FIG. 9B indicates that disturbances in signals are most similar at these time delay values. For example, from the raw signal of FIG. 9A the cross-correlation coefficient graph 82 is generated.
- the algorithm speed [mph] (wheel base [m]/lag time [sec]) is used in estimating speed.
- the actual vehicle speed of 40 mph compares favorably with estimated, whereby validating use of the algorithm above. It will be noted that this method is only applicable when the vehicle is driving with constant velocity. A varying vehicle velocity would result in a smearing of the peak in FIG. 9B in the cross correlation function since the peak shifts with increasing velocity to the left and decreasing velocity to the right.
- the speed estimation may be used to update the rolling radius estimation pursuant to use of the algorithm of FIG. 8 .
- the Force Estimation made pursuant to the methodology of FIGS. 5A , 5B may be validating via track testing using the following vehicle parameters:
- FIGS. 10A through 10D show F x for the front left tire
- FIG. 10B shows F x for the front right
- graph 88 of FIG. 10C shows the rear left
- graph 90 of FIG. 10D for the rear right.
- Measured vs. estimated shows good correlation.
- FIGS. 11A graph 92 and FIG. 11B graph 94 Validation of F y estimations using the subject system and method are shown in FIGS. 11A graph 92 and FIG. 11B graph 94 for the front and rear axles, respectively.
- Validation of F z (tire load estimate) is seen in graph 96 of FIG. 12 . Again, good correlation is seen between measured and estimated force values, indicating validation of the subject system and method.
- the subject method for estimating tire state forces is both robust, accurate, and flexible in the use of CAN-bus accessible sensor data.
- the subject method estimates normal force, lateral force and longitudinal force on a tire by accessing a vehicle CAN-bus for vehicle sensor-measured information.
- Vehicles are equipped with a multiple CAN-bus accessible, vehicle mounted sensors providing by the CAN-bus input sensor data.
- Such input sensor data includes acceleration and angular velocities, steering wheel angle measurement, angular wheel speed of the wheel, roll rate, pitch rate and yaw rate.
- the method deploys a normal force estimator to estimate a normal force on the tire from a summation of longitudinal load transfer, lateral load transfer and static normal force using as inputs lateral acceleration, longitudinal acceleration and roll angle derived from the input sensor data.
- the method further deploys a lateral force estimator to estimate a lateral force on the tire from a planar vehicle model using as inputs measured lateral acceleration, longitudinal acceleration and yaw rate derived from the input sensor data.
- the method further deploys a longitudinal force estimator operable to estimate a longitudinal force on the tire from a wheel rotational dynamics model using as inputs wheel angular speed and drive/brake torque derived from the input sensor data.
- FIGS. 5A and 5B shows use within the method the deployment of a roll and pitch angle estimator to generate a roll angle estimation and a pitch angle estimation from the input sensor data; deployment of an acceleration bias compensation estimator to generate bias-compensated acceleration data from the roll estimation, the pitch estimation, and the input sensor data; deployment of a center of gravity estimator to generate a center of gravity height estimation from the roll angle estimation, the pitch angle estimation and the input sensor data; deployment of a tire rolling radius estimator to generate a tire rolling radius estimation from the input sensor data; deployment of a mass estimator to generate a vehicle mass estimation from the tire longitudinal force estimation and a road grade angle input; deployment of a center of gravity longitudinal position estimator to generate a vehicle longitudinal center of gravity estimation; and deployment of a yaw inertia adaptation model to generate a yaw inertia output from the vehicle mass estimation.
- the subject method configures the input sensor data to exclude data from a global positioning system and data from a suspension displacement sensor. Avoidance of the use of GPS and suspension displacement sensor data makes the inputs to the identified estimators more predictable, accurate and less susceptible to erroneous sensor readings. As a result, the subject method is considered “robust” and capable of estimation of tire forces in real time on a consistently accurate basis. Such force estimations may then be advantageously applied to various vehicle operating systems such as suspension and braking systems for improve vehicle operability and control.
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Abstract
Description
- The invention relates generally to tire monitoring systems for collecting measured tire parameter data during vehicle operation and, more particularly, to a method for estimating tire forces based upon CAN-bus accessible sensor inputs.
- An accurate and robust estimation of tire normal, lateral and longitudinal forces is important for certain vehicle safety, control, and operating systems. Achievement of a system for making reliable estimations of tire forces, however, has proven to be problematic. In particular, achievement of a robust system and method for estimating tire forces based upon indirect tire and vehicle sensor measurements over the lifetime of a tire tread has eluded the industry.
- It is accordingly desirable to achieve such a robust system that accurately and reliably measures tire forces in vehicle-supporting tires in real time during vehicle operation.
- The invention relates to a method in accordance with
claim 1. - Dependent claims refer to preferred embodiments of the invention.
- According to a preferred aspect of the invention, a method for estimating normal force, lateral force, and longitudinal force on a tire mounted to a wheel includes accessing a vehicle CAN-bus for vehicle sensor-measured information, equipping the vehicle with multiple CAN-bus accessible, vehicle mounted sensors providing by the CAN-bus input sensor data, the input sensor data including acceleration and angular velocities, steering wheel angle measurement, angular wheel speed of the wheel, roll rate, pitch rate, yaw rate. The method further deploys a normal force estimator to estimate a normal force on the tire from a summation of longitudinal load transfer, lateral load transfer and static normal force using as inputs lateral acceleration, longitudinal acceleration and roll angle derived from the input sensor data; a lateral force estimator to estimate a lateral force on the tire from a planar vehicle model using as inputs measured lateral acceleration, longitudinal acceleration and yaw rate derived from the input sensor data; and a longitudinal force estimator to estimate a longitudinal force on the tire from a wheel rotational dynamics model using as inputs wheel angular speed and drive/brake torque derived from the input sensor data.
- In another preferred aspect, the method further includes deploying a roll and pitch angle estimator operable to generate a roll angle estimation and a pitch angle estimation from the input sensor data; deploying an acceleration bias compensation estimator to generate bias-compensated acceleration data from the roll estimation, the pitch estimation and the input sensor data; deploying a center of gravity estimator to generate a center of gravity height estimation from the roll angle estimation, the pitch angle estimation and the input sensor data; deploying a tire rolling radius estimator to generate a tire rolling radius estimation from the input sensor data; deploying a mass estimator to generate a vehicle mass estimation from the tire longitudinal force estimation and a road grade angle input; deploying a center of gravity longitudinal position estimator to generate a vehicle longitudinal center of gravity estimation; and deploying a yaw inertia adaptation model to generate a yaw inertia output from the vehicle mass estimation.
- The invention in yet a further preferred aspect configures the input sensor data to exclude data from a global positioning system and data from a suspension displacement sensor.
- "ANN" or "Artificial Neural Network" is an adaptive tool for non-linear statistical data modeling that changes its structure based on external or internal information that flows through a network during a learning phase. ANN neural networks are non-linear statistical data modeling tools used to model complex relationships between inputs and outputs or to find patterns in data.
- "Axial" and "axially" means lines or directions that are parallel to the axis of rotation of the tire.
- "CAN-bus" is an abbreviation for controller area network.
- "Circumferential" means lines or directions extending along the perimeter of the surface of the annular tread perpendicular to the axial direction.
- "Footprint" means the contact patch or area of contact created by the tire tread with a flat surface as the tire rotates or rolls.
- "Kalman filter" is a set of mathematical equations that implement a predictor-corrector type estimator that is optimal in the sense that it minimizes the estimated error covariance when some presumed conditions are met.
- "Lateral" means an axial direction.
- "Luenberger observer" is a state observer or estimation model. A "state observer" is a system that provides an estimate of the internal state of a given real system, from measurements of the input and output of the real system. It is typically computer-implemented, and provides the basis of many practical applications.
- "MSE" is an abbreviation for mean square error, the error between and a measured signal and an estimated signal which the Kalman filter minimizes.
- "Sensor" means a device mounted to a vehicle or to a tire for the purpose of measuring a specific vehicle or tire parameter and communicating the parameter measurement either wirelessly or via a vehicle CAN-bus for application.
- "PSD" is power spectral density (a technical name synonymous with FFT (fast fourier transform).
- "Radial" and "radially" means directions radially toward or away from the axis of rotation of the tire.
- The invention will be described by way of example and with reference to the accompanying drawings in which:
-
FIG. 1 is a wheel rotational dynamics model and longitudinal force estimation made therefrom. -
FIG. 2 is a planar vehicle model and the lateral force estimation made therefrom. -
FIG. 3A is a vertical force estimation model. -
FIG. 3B is a vehicle representation used in making a vertical force estimation from the model ofFIG. 3A . -
FIG. 3C is a vertical force estimation method using designated algorithms. -
FIG. 4 is a table of vehicle inertial parameters used in estimation of longitudinal, lateral and vertical forces. -
FIG. 5A is a summary flow diagram for the robust estimation of tire forces with vehicle model parameter adaptation. -
FIG. 5B is a flow diagram showing parameter estimation blocks outlined. -
FIG. 6A is a graph showing rolling radius sensitivity to tire load. -
FIG. 6B is a graph showing rolling radius sensitivity to tire inflation pressure. -
FIG. 7A is a graph showing rolling radius sensitivity to speed. -
FIG. 7B is a graph showing rolling radius sensitivity to tire wear condition. -
FIG. 8 is a schematic on the method of updating tire rolling radius based upon vehicle speed. -
FIG. 9A is a graph showing vehicle speed estimation based on correlation analysis of time dependent signals to show algorithm validation. -
FIG. 9B is a graph showing cross-correlation coefficient over time in estimating vehicle speed in comparison with actual vehicle speed. -
FIG. 10A is a graph showing experimental validation via track testing of force estimations, comparing estimated with measured Fx for a front left tire. -
FIG 10B is a graph similar toFIG. 10A but for the front right tire. -
FIG. 10C is a graph similar toFIG. 10A but for the rear left tire. -
FIG. 10D is a graph similar toFIG. 10A but for the rear left tire. -
FIGS. 11A and 11B are graphs showing experimental validation via track testing of force estimation Fy comparing estimated with measured Fy for front and rear tires respectively. -
FIG. 12 is a graph showing experimental validation via track testing of tire load estimation Fz for a front left tire and comparing measured with estimated load values. - Referring initially to
FIG. 4 , a summary of the subject robust tire force estimation system and method is shown by the table 10 presented. Atire 12 creates acontact patch 14 on a ground surface as it rotates. Tire forces Fx (longitudinal), Fz (vertical), and Fy (lateral) are created within the tire and identification of such forces are used to determine vehicle performance parameters. As seen in table 10, the goal of the subject system and method is to estimate the listed vehicle inertial parameters (column 16) using standard vehicle sensors such as accelerometers and a gyroscope, i.e. signals available on major vehicle controller area networks (CAN-bus). The subject system force estimate is made without using global positioning system (GPS) or suspension. The forces Fx, Fy, Fz are estimated using the model identified for each incolumn 18 as will be explained below. While a number of alternative approaches for estimating such forces have been proposed, they unanimously use fixed vehicle parameters such as inertial parameters to estimate the tire forces. However, depending on how the vehicle is loaded, inertial parameters of the vehicle, including mass, moments of inertia and spatial components for location of center of mass, can have different magnitudes. The subject system and method is more robust in avoiding the use of load-dependent inertial parameters. - With reference to
FIG. 1 , the longitudinal force estimation approach of the subject system is represented. From the wheelrotation dynamics model 20 the equations shown are generated. Model inputs for themodel 20 are shown in table 22 to include wheel angular speed and drive/brake torque. The model parameter is rolling radius and the model output yields individual tire longitudinal force (Fx). -
FIG. 2 shows the scheme for estimation of lateral force (Fy). Aplanar vehicle model 24 is used in the estimation, generating the dynamic equations shown. In table 26, the model inputs of lateral acceleration, longitudinal acceleration and yaw rate are used to determine the model parameters of mass, longitudinal center of gravity (CoG), and yaw moment of inertial. The model outputs front and rear axle lateral force (Fy). For the equations shown, Fxi is the longitudinal force of each wheel, Fyi is the lateral force of each wheel (where fl, fr, rl and rr represent the front left, front right, rear left, and rear right wheel, respectively, hereinafter inclusive) and Fyf and Fyr are the lateral forces of the front and rear axle, respectively. δ is the steering angle of the front wheels, m is the mass of the vehicle, ax and ay are the longitudinal and lateral accelerations of the vehicle, respectively, γ is the yaw rate of the vehicle, Iz is the moment of inertia of the vehicle, If and Ir are the distances from the center of mass of the vehicle to the front axle and rear axle, respectively, and 2t is the wheel base. Inputs, parameters, and outputs for the model are as indicated in table 26. - Referring to
FIGS. 3A through 3C , the vertical force estimation used in the subject system and method are described. The vertical tire forces can be estimated by the summation of longitudinal load transfer, lateral load transfer and static normal force.FIG. 3A represents a vehicle lateral dynamics model showing the vehicle CoG and identifying model parameters.FIGS. 3B shows a vehicle longitudinal dynamics model and CoG for the vehicle. InFIG. 3C , equations are identified from which to calculate an estimation of longitudinal load transfer, lateral load transfer and static normal force. The table 32 identifies the model inputs, model parameters and model output of individual tire vertical force (Fz). - A diagram of the robust estimation of tire forces with vehicle model parameter adaptation is seen in
FIG. 5A . Information from CAN-bus sensors is shown in broken line arrows while the internal state estimates are shown in solid line arrow. A6D IMU 34 provides acceleration and angular velocities from the CAN-bus. Steeringinput 36 andwheel speed 38 are likewise provided by means of the vehicle CAN-bus. - Acceleration measurements, roll rate, pitch rate and yaw rate are provided from a 6D
IM U unit 34 mounted to the vehicle and available by CAN-bus with steeringinput 36 andwheel speed 38. A kinematics based roll andpitch angle estimator 40 receives the acceleration, roll rate, pitch rate and yaw rate and provides an estimation of roll and pitch angles to a RLS CoG height estimation model (1 DOF roll model) 48 to yield a height estimation hcg. The acceleration data ax and ay are used in an accelerationbias compensation adjustment 46 to yield compensated acceleration measurement axc and ayc. The compensated acceleration measurements axc and ayc with height estimation hcg are inputs to a tiredynamic load estimator 54 with CoG longitudinal position estimation a, b fromestimator 52 and mass estimation m fromestimator 50. The tiredynamic load estimator 54 outputs a load estimation normal force (Fz) 60. - Wheel speed, engine torque and braking torque available from the CAN-bus as inputs to a tire longitudinal force estimator (SMC) 42 with tire rolling
radius estimation 44 to yield longitudinal force estimations Fxfl, Fxfr, Fxrl, andF xrr 64. The longitudinal force estimations are inputs with road grade θ and longitudinal acceleration ax to a longitudinal dynamicsmass estimation model 50. An estimation of mass m is generated by themodel 50. Mass m is used in a yawinertia adaptation moel 56 that uses regression equations to approximate moments of inertia Iz. - The load estimation Fz from the tire
dynamic load estimator 54, the compensated acceleration data axc and ayc, the yaw inertial adaptation Iz, mass "m" and CoG position estimation a, b are inputs to an axle force estimator configured as a 3 DOF planar (SMC)model 58. Lateral force (Fy) 62 is an estimation output from theaxle force estimator 58. - The model equations used in creating the normal force (Fz) 60, the lateral force (Fy) 62 and the longitudinal force (Fx) 64 estimations from the system and method of
FIG. 5A are as described previously. - In
FIG. 5B , the parameter estimation blocks are outlined in broken line as indicated. The parameters estimated aretire rolling radius 44,mass 50, CoGlongitudinal position 52,yaw inertia adaptation 56 andCoG height 48. The derivation oftire rolling radius 44 is explained below. Vehicle sprung mass and longitudinal CoG position are derived as set forth inUS-B-8,886,395 andUS-A-2014/0278040 , which are incorporated herein by reference in their entireties. Theyaw inertia adaptation 56 is estimated using regression equations that approximate moments of inertia. Such equations are set forth and discussed in the paper authored by Allen R. Wade, et al. entitled "Estimation of Passenger Vehicle Inertial Properties and Their Effect on Stability and Handling", No. 2003-01-966, SAE Technical Paper, 2003, which paper being incorporated herein in its entirety. TheCoG height estimation 48 is set forth inUS-A-2014/0114558 incorporated herein in its entirety by reference. - It will be seen from
FIGS. 5A and5B that the subject estimates of longitudinal force, lateral force and vertical force are "robust" in the sense that the estimates of vehicle inertial parameters use standard vehicle sensors such as accelerometers and a gyroscope, signals available on major vehicle controller area networks. Global positioning system (GPS) or suspension displacement sensors are not used. Hence, the subject system and method for making its force estimates are GPS independent and suspension displacement measurement independent and consequently are referred to as "robust". - The methodology for estimation of rolling
radius 44 will be understood from the experimentally derivedsensitivity graph 66 ofFIG. 6A (load),graph 68 ofFIG. 6B (pressure),graph 70 ofFIG. 7A (speed),graph 72 ofFIG. 7B (wear). The sensitivity of rolling radius to load is the slope of the line ofFIG. 6A or 0.9 mm/300 pounds (pound = 0.4536 kg). The sensitivity of rolling radius to tire pressure inFIG. 6B is seen as 0.45 mm/4psi (1 psi = 6895 Pa). The sensitivity of rolling radius to speed is seen inFIG. 7A as 1.8 mm/40 kph. The sensitivity to tire wear is seen inFIG. 7B as 0.22677 mm/3 mm. Tire rolling radius is thus shown to be a function of load, pressure, speed and tire wear state with increasing load and decreasing tread depth acting to decrease rolling radius and increasing pressure and increasing speed acting to increase rolling radius. - The rolling radius can therefore be updated as seen in
FIG. 8 by vehicle speed estimation based on correlation analysis of time dependent signals 74. Wheel speed in the equation shown is obtained from the CAN-bus of the vehicle as seen at 76 while rolling radius (static) r is recursively estimated under constant speed conditions using a recursive least squares algorithm as seen atblock 78. Vehicle speed estimation is shown schematically inFIGS. 9A and9B and is based on correlation analysis of time dependent signals. Thegraph 80 graphs spindle acceleration for both front and rear wheels as a first step. InFIG. 9B , cross-correlation coefficient against lag [sec] is graphed at 82. The peak in thegraph 82 ofFIG. 9B indicates that disturbances in signals are most similar at these time delay values. For example, from the raw signal ofFIG. 9A thecross-correlation coefficient graph 82 is generated. - The algorithm speed [mph] = (wheel base [m]/lag time [sec]) is used in estimating speed.
FIG. 9B indicates a lag time of 0.1609 seconds, from which an estimated speed of 39.95 mph (1 mph = 1.609 km/h) is determined through application of the algorithm. The actual vehicle speed of 40 mph compares favorably with estimated, whereby validating use of the algorithm above. It will be noted that this method is only applicable when the vehicle is driving with constant velocity. A varying vehicle velocity would result in a smearing of the peak inFIG. 9B in the cross correlation function since the peak shifts with increasing velocity to the left and decreasing velocity to the right. Once the speed estimation is made, it may be used to update the rolling radius estimation pursuant to use of the algorithm ofFIG. 8 . - The Force Estimation made pursuant to the methodology of
FIGS. 5A ,5B may be validating via track testing using the following vehicle parameters: - m = 1722; % kg
- ms = 1498; % kg
- mu = m-ms; % kg
- a = 1.33; % m
- b = 1.33; % m
- t = 1.619; % m
- hcg = 0.545; CG height from ground % m
- hr = 0.13; % roll center height from ground % m
- ha = 0.1; % unsprung mass height from ground % m
- croll = 1000; % roll damping N-sec/m
- kroll = 1300; % roll stiffness Nm/deg.
- Measured force hub readings are compared to estimated with the results shown in
FIGS. 10A through 10D in experimental validation of Fx.FIG. 10A ingraph 84 shows Fx for the front left tire,graph 86 ofFIG. 10B for the front right,graph 88 ofFIG. 10C for the rear left andgraph 90 ofFIG. 10D for the rear right. Measured vs. estimated shows good correlation. - Validation of Fy estimations using the subject system and method are shown in
FIGS. 11A graph 92 andFIG. 11B graph 94 for the front and rear axles, respectively. Validation of Fz (tire load estimate) is seen ingraph 96 ofFIG. 12 . Again, good correlation is seen between measured and estimated force values, indicating validation of the subject system and method. - From the foregoing, it will be appreciated that the subject method for estimating tire state forces is both robust, accurate, and flexible in the use of CAN-bus accessible sensor data. From the schematic of
FIGS. 5A ,5B , and the pending U.S. Patent Applications incorporated by reference herein and the issuedU.S. Patent 8,886,395 likewise incorporated by reference herein, the subject method estimates normal force, lateral force and longitudinal force on a tire by accessing a vehicle CAN-bus for vehicle sensor-measured information. Vehicles are equipped with a multiple CAN-bus accessible, vehicle mounted sensors providing by the CAN-bus input sensor data. Such input sensor data includes acceleration and angular velocities, steering wheel angle measurement, angular wheel speed of the wheel, roll rate, pitch rate and yaw rate. The method deploys a normal force estimator to estimate a normal force on the tire from a summation of longitudinal load transfer, lateral load transfer and static normal force using as inputs lateral acceleration, longitudinal acceleration and roll angle derived from the input sensor data. The method further deploys a lateral force estimator to estimate a lateral force on the tire from a planar vehicle model using as inputs measured lateral acceleration, longitudinal acceleration and yaw rate derived from the input sensor data. The method further deploys a longitudinal force estimator operable to estimate a longitudinal force on the tire from a wheel rotational dynamics model using as inputs wheel angular speed and drive/brake torque derived from the input sensor data. - The schematics of
FIGS. 5A and5B shows use within the method the deployment of a roll and pitch angle estimator to generate a roll angle estimation and a pitch angle estimation from the input sensor data; deployment of an acceleration bias compensation estimator to generate bias-compensated acceleration data from the roll estimation, the pitch estimation, and the input sensor data; deployment of a center of gravity estimator to generate a center of gravity height estimation from the roll angle estimation, the pitch angle estimation and the input sensor data; deployment of a tire rolling radius estimator to generate a tire rolling radius estimation from the input sensor data; deployment of a mass estimator to generate a vehicle mass estimation from the tire longitudinal force estimation and a road grade angle input; deployment of a center of gravity longitudinal position estimator to generate a vehicle longitudinal center of gravity estimation; and deployment of a yaw inertia adaptation model to generate a yaw inertia output from the vehicle mass estimation. - Finally, it will be noted that the subject method configures the input sensor data to exclude data from a global positioning system and data from a suspension displacement sensor. Avoidance of the use of GPS and suspension displacement sensor data makes the inputs to the identified estimators more predictable, accurate and less susceptible to erroneous sensor readings. As a result, the subject method is considered "robust" and capable of estimation of tire forces in real time on a consistently accurate basis. Such force estimations may then be advantageously applied to various vehicle operating systems such as suspension and braking systems for improve vehicle operability and control.
Claims (15)
- A method for estimating a tire state including normal force, lateral force, and longitudinal force on a tire mounted to a wheel and supporting a vehicle, the method comprising:accessing a vehicle CAN-bus for vehicle sensor-measured information;equipping the vehicle with a plurality of CAN-bus accessible, vehicle mounted sensors providing by the CAN-bus input sensor data, the input sensor data including acceleration and one or more angular velocities, steering wheel angle measurement, angular wheel speed of the wheel, roll rate, pitch rate, and yaw rate;deploying a normal force estimator operable to estimate a normal force on the tire from a summation of longitudinal load transfer, lateral load transfer and static normal force using as inputs lateral acceleration, longitudinal acceleration and roll angle derived from the input sensor data;deploying a lateral force estimator operable to estimate a lateral force on the tire from a planar vehicle model using as inputs measured lateral acceleration, longitudinal acceleration and yaw rate derived from the input sensor data;deploying a longitudinal force estimator operable to estimate a longitudinal force on the tire from a wheel rotational dynamics model using as inputs wheel angular speed and drive/brake torque derived from the input sensor data.
- The method for estimating tire state of claim 1, further comprising:deploying a roll and pitch angle estimator operable to generate a roll angle estimation and a pitch angle estimation from the input sensor data; and/ordeploying an acceleration bias compensation estimator operable to generate bias-compensated acceleration data from the roll estimation, the pitch estimation and the input sensor data.
- The method for estimating tire state of claim 1 or 2, further comprising:deploying a center of gravity estimator operable to generate a center of gravity height estimation from the roll angle estimation, the pitch angle estimation and the input sensor data; and/ordeploying a tire rolling radius estimator operable to generate a tire rolling radius estimation from the input sensor data.
- The method for estimating tire state of claim 1, 2 or 3, further comprising:deploying a mass estimator operable to generate a vehicle mass estimation from the tire longitudinal force estimation and a road grade angle input.
- The method for estimating tire state of claim 1, 2, 3 or 4, further comprising:deploying a center of gravity longitudinal position estimator operable to generate a vehicle longitudinal center of gravity estimation; and/ordeploying a yaw inertia adaptation model operable to generate a yaw inertia output from the vehicle mass estimation.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising configuring the longitudinal force estimator to generate the tire longitudinal force estimation from the tire rolling radius estimation, an engine torque input and a braking torque input.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising configuring the normal force estimator to generate the normal force on the tire estimation from the center of gravity height estimation, the center of gravity longitudinal position estimation and the vehicle mass estimation.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising configuring the lateral force estimator is operable to generate the lateral force on the tire from the input sensor data including a measured lateral acceleration, a measured longitudinal acceleration and the yaw rate.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising:deploying a yaw inertia adaptation model operable to generate a yaw inertia output from the vehicle mass estimation; anddeploying an axle force estimator operable to generate a lateral force estimation from the vehicle mass estimation, the yaw inertia output, the tire dynamic load estimation, the center of gravity longitudinal position estimation, the bias-compensated acceleration data, a steering wheel angle input, a yaw rate input and the tire dynamic load estimation.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising generating the acceleration and angular velocities, the pitch rate, the yaw rate and the roll rate from a six degree inertial measuring unit mounted to the vehicle.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising configuring the roll and pitch angle estimator upon a kinematics model of the vehicle.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising configuring the center of gravity estimator upon a one degree of freedom roll model employing a recursive least squares algorithm.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising configuring the tire longitudinal force estimator upon an application of a wheel dynamics model using as model inputs the wheel angular speed and a measured drive and brake torque.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising configuring the input sensor data to exclude use of data from a global positioning system or data from a suspension displacement sensor.
- The method for estimating tire state in accordance with at least one of the previous claims, further comprising configuring the input sensor data to exclude use of data from a global positioning system or data from a suspension displacement sensor;
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